This is the usual way of introducing majorana operators.
First we have $N$ fermionic modes. The corresponding operators satisfy the commutation relations
$$ \{c_i, c_j \}= \{c_i^\dagger, c_j^\dagger ...

I'm interested in Type 1.5 superconductors, first proposed by Egor Babaev in 2002 and found in the laboratory in 2009 (magnesium dibromide). Such conductors favor small bundles of vortices. The most ...

I know that this question has been submitted several times (especially see How are anyons possible?), even as a byproduct of other questions, since I did not find any completely satisfactory answers, ...

Since non-abelian anyons have become quite fashionable from the point of view of theory. I would like to know, whether there has actually been experimental confirmation of such objects.
If you could ...

We have some discussions in Phys.SE. about the braiding statistics of anyons from a Non-Abelian Chern-Simon theory, or non-Abelian anyons in general.
May I ask: under what (physical or mathematical) ...

I am trying to understand why vortices in p-wave superconductors are actually
non-abelian anyons and how this relates to Majorana modes.
However I am having a hard time finding proper resources (in ...

The symmetrisation postulate is known for stating that, in nature, particles have either completely symmetric or completely antisymmetric wave functions. According to these postulate, these states are ...

We need non-abelian fractional hall states because of the ground state degeneracy
http://rmp.aps.org/abstract/RMP/v80/i3/p1083_1 (arXiv version for free). But we can also have degeneracy even in case ...

So far in condensed matter physics, I only know anyons(abelian or nonabelian) can emerge as quasiparticles in 2D real-space.
But is there any possibility to construct anyons in momentum-space ? And ...

I have seen the term topological charge defined in an abstract mathematical way as a essentially a labeling scheme for particles which follows certain rules. However I am left guessing when trying to ...

A common way to show that anyons exhibit fractional statistics in 2D is by arguing that the paths of two anyons winding round each other cannot be continuously deformed to zero. This seems to assume ...